{"title":"hvbe代数上的基本关系","authors":"Farzad Iranmanesh, M. Ghadiri, A. Borumand Saeid","doi":"10.18778/0138-0680.2023.10","DOIUrl":null,"url":null,"abstract":"In this paper, we are going to introduce a fundamental relation on \\(H_{v}BE\\)-algebra and investigate some of properties, also construct new \\((H_{v})BE\\)-algebras via this relation. We show that quotient of any \\(H_{v}BE\\)-algebra via a regular regulation is an \\(H_{v}BE\\)-algebra and this quotient, via any strongly relation is a \\(BE\\)-algebra. Furthermore we consider that under what conditions some relations on \\(H_{v}BE\\)-algebra are transitive.","PeriodicalId":38667,"journal":{"name":"Bulletin of the Section of Logic","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fundamental Relation on HvBE-Algebras\",\"authors\":\"Farzad Iranmanesh, M. Ghadiri, A. Borumand Saeid\",\"doi\":\"10.18778/0138-0680.2023.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we are going to introduce a fundamental relation on \\\\(H_{v}BE\\\\)-algebra and investigate some of properties, also construct new \\\\((H_{v})BE\\\\)-algebras via this relation. We show that quotient of any \\\\(H_{v}BE\\\\)-algebra via a regular regulation is an \\\\(H_{v}BE\\\\)-algebra and this quotient, via any strongly relation is a \\\\(BE\\\\)-algebra. Furthermore we consider that under what conditions some relations on \\\\(H_{v}BE\\\\)-algebra are transitive.\",\"PeriodicalId\":38667,\"journal\":{\"name\":\"Bulletin of the Section of Logic\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-08-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Section of Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18778/0138-0680.2023.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Section of Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18778/0138-0680.2023.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Arts and Humanities","Score":null,"Total":0}
In this paper, we are going to introduce a fundamental relation on \(H_{v}BE\)-algebra and investigate some of properties, also construct new \((H_{v})BE\)-algebras via this relation. We show that quotient of any \(H_{v}BE\)-algebra via a regular regulation is an \(H_{v}BE\)-algebra and this quotient, via any strongly relation is a \(BE\)-algebra. Furthermore we consider that under what conditions some relations on \(H_{v}BE\)-algebra are transitive.